Details

analyze8.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
31.2%	18.7%	50%	4
40.6%	9.4%	50%	5
45.3%	4.7%	50%	6
47.6%	2.3%	50%	7
48.8%	1.2%	50%	8
49.4%	0.6%	50%	9
49.7%	0.3%	50%	10
49.8%	0.1%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.1s (47.1%)

Results

1.1s

8256×

body

128

valid

preprocess29.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

554×	`associate-/r*_binary64`
513×	`distribute-rgt-in_binary64`
416×	`associate-/r/_binary64`
349×	`fma-def_binary64`
319×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1316	13
4	3585	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 4 (.f64 i i))) (+.f64 (.f64 4 (*.f64 i i)) -1))
(.f64 (/.f64 i (fma.f64 4 (.f64 i i) -1)) (/.f64 (pow.f64 i 3) (.f64 i (.f64 i 4))))
(.f64 (/.f64 i (fma.f64 (.f64 i i) 4 -1)) (/.f64 i 4))
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify21.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-/r*_binary64`
513×	`distribute-rgt-in_binary64`
416×	`associate-/r/_binary64`
349×	`fma-def_binary64`
319×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1316	13
4	3585	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 4 (.f64 i i))) (+.f64 (.f64 4 (*.f64 i i)) -1))
(.f64 (/.f64 i (fma.f64 4 (.f64 i i) -1)) (/.f64 (pow.f64 i 3) (.f64 i (.f64 i 4))))
(.f64 (/.f64 i (fma.f64 (.f64 i i) 4 -1)) (/.f64 i 4))
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

prune6.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

7.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	7.2b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
	47.9b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Compiler

Compiled 107 to 74 computations (30.8% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4 (/.f64 i (pow.f64 i 3)))
✓	0.5b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
✓	11.6b	(/.f64 i (pow.f64 i 3))

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 i (pow.f64 i 3))
1.0ms	i	@	0	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
0.0ms	i	@	inf	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
0.0ms	i	@	-inf	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
0.0ms	i	@	-inf	(/.f64 i (pow.f64 i 3))

rewrite50.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`log-prod_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`
168×	`pow1/3_binary64`
150×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	215	21
2	2674	21

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(/.f64 i (pow.f64 i 3))
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
(-.f64 4 (/.f64 i (pow.f64 i 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 i -2))) (cbrt.f64 (exp.f64 (pow.f64 i -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 i (pow.f64 i -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i -2) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 i) i) (pow.f64 (/.f64 (cbrt.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 i) i) 2) (/.f64 (cbrt.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 i) 2) (.f64 (cbrt.f64 i) (pow.f64 i -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 i) (/.f64 i (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 i) (.f64 (sqrt.f64 i) (pow.f64 i -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 i) (/.f64 1 (neg.f64 (pow.f64 i 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i -3) i)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) i) (/.f64 (cbrt.f64 i) (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 i) i) (/.f64 (sqrt.f64 i) (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 i) (.f64 i i)) (/.f64 (sqrt.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i i)) (/.f64 (cbrt.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 i 3/2)) (/.f64 i (pow.f64 i 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 i 3/2)) (/.f64 (cbrt.f64 i) (pow.f64 i 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 i -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 i -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 i i) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 i) i) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 i 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 i i) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 i (neg.f64 (pow.f64 i 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 i -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 i 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -2 (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -2 (log.f64 i)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (/.f64 1 (neg.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 64 (/.f64 1 (pow.f64 i 6)))) (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 16 (/.f64 (pow.f64 i -2) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 16 (/.f64 (pow.f64 i -2) 1/4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (.f64 (neg.f64 (pow.f64 i -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 i -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))) (cbrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (/.f64 1 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)) (/.f64 1 (+.f64 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16) (-.f64 64 (/.f64 1 (pow.f64 i 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 i -2) 4) (-.f64 16 (pow.f64 (pow.f64 i -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)) (+.f64 (pow.f64 i -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6)))) (neg.f64 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (neg.f64 (+.f64 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) (+.f64 16 (-.f64 (.f64 (neg.f64 (pow.f64 i -2)) (neg.f64 (pow.f64 i -2))) (.f64 4 (neg.f64 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (.f64 (neg.f64 (pow.f64 i -2)) (neg.f64 (pow.f64 i -2)))) (-.f64 4 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 4 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16) (-.f64 64 (/.f64 1 (pow.f64 i 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 i -2) 4) (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i (neg.f64 (pow.f64 i -3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 i -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 i) i) 2) (neg.f64 (/.f64 (cbrt.f64 i) i)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 i) (neg.f64 (/.f64 1 i)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 i) (pow.f64 i -3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2)))) (cbrt.f64 (neg.f64 (pow.f64 i -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2))) (sqrt.f64 (neg.f64 (pow.f64 i -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 i -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 i) i) 2)) (/.f64 (cbrt.f64 i) i) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 i)) (/.f64 1 i) 4)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 4 (pow.f64 i -2))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 i -2))) (cbrt.f64 (exp.f64 (pow.f64 i -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (pow.f64 i -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -2) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 i) i) (pow.f64 (/.f64 (cbrt.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 i) i) 2) (/.f64 (cbrt.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (pow.f64 i -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 i (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (pow.f64 i -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 i) (/.f64 1 (neg.f64 (pow.f64 i 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -3) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) i) (/.f64 (cbrt.f64 i) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) i) (/.f64 (sqrt.f64 i) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) (*.f64 i i)) (/.f64 (sqrt.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 i i)) (/.f64 (cbrt.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 i 3/2)) (/.f64 i (pow.f64 i 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 i 3/2)) (/.f64 (cbrt.f64 i) (pow.f64 i 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 i -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 i -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i i) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 i) i) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 i 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 i i) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 i (neg.f64 (pow.f64 i 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 i -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 i 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 i)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (neg.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 64 (/.f64 1 (pow.f64 i 6)))) (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 16 (/.f64 (pow.f64 i -2) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 16 (/.f64 (pow.f64 i -2) 1/4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 (neg.f64 (pow.f64 i -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 i -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))) (cbrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (/.f64 1 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)) (/.f64 1 (+.f64 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16) (-.f64 64 (/.f64 1 (pow.f64 i 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 i -2) 4) (-.f64 16 (pow.f64 (pow.f64 i -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)) (+.f64 (pow.f64 i -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6)))) (neg.f64 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (neg.f64 (+.f64 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) (+.f64 16 (-.f64 (*.f64 (neg.f64 (pow.f64 i -2)) (neg.f64 (pow.f64 i -2))) (*.f64 4 (neg.f64 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 (neg.f64 (pow.f64 i -2)) (neg.f64 (pow.f64 i -2)))) (-.f64 4 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 4 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 i -2) (+.f64 (pow.f64 i -2) 4) 16) (-.f64 64 (/.f64 1 (pow.f64 i 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 i -2) 4) (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i (neg.f64 (pow.f64 i -3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 i -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 i) i) 2) (neg.f64 (/.f64 (cbrt.f64 i) i)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 i) (neg.f64 (/.f64 1 i)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 i) (pow.f64 i -3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2)))) (cbrt.f64 (neg.f64 (pow.f64 i -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2))) (sqrt.f64 (neg.f64 (pow.f64 i -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 i -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 i) i) 2)) (/.f64 (cbrt.f64 i) i) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 i)) (/.f64 1 i) 4)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 4 (pow.f64 i -2))) 1))))))

simplify43.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

691×	`cancel-sign-sub-inv_binary64`
657×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
412×	`fma-def_binary64`
351×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	369
1	94	366
2	221	366
3	663	366
4	3084	366

Stop Event

1×	node limit

Counts

149 → 135

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(/.f64 -1 (pow.f64 i 2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))

Outputs
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(*.f64 -1/4 (pow.f64 i 2))
(.f64 (.f64 i i) -1/4)
(.f64 i (.f64 i -1/4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 (.f64 i i) -1/4))
(-.f64 (.f64 (.f64 i i) -1/4) (pow.f64 i 4))
(-.f64 (.f64 i (.f64 i -1/4)) (pow.f64 i 4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(-.f64 (fma.f64 (.f64 i i) -1/4 (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))
(fma.f64 -4 (pow.f64 i 6) (-.f64 (.f64 (.f64 i i) -1/4) (pow.f64 i 4)))
(-.f64 (fma.f64 i (.f64 i -1/4) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 (.f64 i i) -1/4 (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -4 (pow.f64 i 6) (-.f64 (.f64 (.f64 i i) -1/4) (pow.f64 i 4))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 i (.f64 i -1/4) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)))
(fma.f64 (.f64 i i) (-.f64 -1/4 (.f64 i i)) (fma.f64 -4 (pow.f64 i 6) (*.f64 -16 (pow.f64 i 8))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(/.f64 (/.f64 -1 i) i)
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 4 (/.f64 (/.f64 -1 i) i))

prune269.0ms (11.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	134	3	137

Error

0.0b

Counts

137 → 3

Alt Table

Status	Error	Program
▶	14.3b	(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))
	25.9b	(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))
	32.3b	(.f64 i (.f64 i -1/4))

Status

Error

Program

▶

14.3b

(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))

25.9b

(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))

32.3b

(*.f64 i (*.f64 i -1/4))

Compiler

Compiled 1792 to 1469 computations (18% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))
✓	0.0b	(log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))
✓	0.0b	(-.f64 4 (pow.f64 i -2))
✓	0.0b	(exp.f64 (-.f64 4 (pow.f64 i -2)))

series38.0ms (1.6%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	i	@	0	(log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))
2.0ms	i	@	inf	(log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))
2.0ms	i	@	inf	(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))
1.0ms	i	@	-inf	(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))
1.0ms	i	@	0	(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))

rewrite40.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
118×	`add-sqr-sqrt_binary64`
117×	`add-log-exp_binary64`
115×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	269	4
2	3405	4

Stop Event

1×	node limit

Counts

4 → 4

Calls

Call 1

Inputs
(exp.f64 (-.f64 4 (pow.f64 i -2)))
(-.f64 4 (pow.f64 i -2))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify50.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

343×	`associate-/r*_binary64`
325×	`fma-neg_binary64`
270×	`fma-def_binary64`
183×	`times-frac_binary64`
172×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1653
1	328	1623
2	1035	1013
3	4532	997

Stop Event

1×	node limit

Counts

44 → 29

Calls

Call 1

Inputs
(exp.f64 4)
(+.f64 (*.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (exp.f64 4))
(+.f64 (.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4))) (exp.f64 4)))
(+.f64 (.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (+.f64 (.f64 -1/6 (/.f64 (exp.f64 4) (pow.f64 i 6))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4))) (exp.f64 4))))
(exp.f64 4)
(+.f64 (*.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (exp.f64 4))
(+.f64 (.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4))) (exp.f64 4)))
(+.f64 (.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (+.f64 (.f64 -1/6 (/.f64 (exp.f64 4) (pow.f64 i 6))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4))) (exp.f64 4))))
(/.f64 -1 (pow.f64 i 2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(log.f64 (sqrt.f64 (exp.f64 4)))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 4))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 i 4))) (log.f64 (sqrt.f64 (exp.f64 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 i 4))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 4))) (.f64 1/720 (/.f64 (-.f64 (+.f64 (.f64 180 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) (.f64 360 (/.f64 (-.f64 (.f64 -1/6 (exp.f64 4)) (.f64 -1/2 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)))) (exp.f64 4)))) 30) (pow.f64 i 6))))) (.f64 1/2 (/.f64 1 (pow.f64 i 2))))
(log.f64 (sqrt.f64 (exp.f64 4)))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 4))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 i 4))) (log.f64 (sqrt.f64 (exp.f64 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 i 4))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 4))) (.f64 1/720 (/.f64 (-.f64 (+.f64 (.f64 180 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) (.f64 360 (/.f64 (-.f64 (.f64 -1/6 (exp.f64 4)) (.f64 -1/2 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)))) (exp.f64 4)))) 30) (pow.f64 i 6))))) (.f64 1/2 (/.f64 1 (pow.f64 i 2))))
(/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))
(/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))
(/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))
(/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))
(/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4))))
(+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (*.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3) (pow.f64 i 4)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3) (pow.f64 i 4)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (+.f64 (.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/384 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (+.f64 (.f64 1/5760 (/.f64 (-.f64 (+.f64 (.f64 180 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) (.f64 360 (/.f64 (-.f64 (.f64 -1/6 (exp.f64 4)) (.f64 -1/2 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)))) (exp.f64 4)))) 30) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/32 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))) (log.f64 (sqrt.f64 (exp.f64 4))))))) (pow.f64 i 6)))))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))
(/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4))))
(+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (*.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3) (pow.f64 i 4)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3) (pow.f64 i 4)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (+.f64 (.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/384 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (+.f64 (.f64 1/5760 (/.f64 (-.f64 (+.f64 (.f64 180 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) (.f64 360 (/.f64 (-.f64 (.f64 -1/6 (exp.f64 4)) (.f64 -1/2 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)))) (exp.f64 4)))) 30) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/32 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))) (log.f64 (sqrt.f64 (exp.f64 4))))))) (pow.f64 i 6)))))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))

Outputs
(exp.f64 4)
(+.f64 (*.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (exp.f64 4))
(fma.f64 -1 (/.f64 (exp.f64 4) (*.f64 i i)) (exp.f64 4))
(-.f64 (exp.f64 4) (/.f64 (exp.f64 4) (*.f64 i i)))
(+.f64 (.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4))) (exp.f64 4)))
(fma.f64 -1 (/.f64 (exp.f64 4) (*.f64 i i)) (fma.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4)) (exp.f64 4)))
(-.f64 (fma.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4)) (exp.f64 4)) (/.f64 (exp.f64 4) (*.f64 i i)))
(+.f64 (.f64 -1 (/.f64 (exp.f64 4) (pow.f64 i 2))) (+.f64 (.f64 -1/6 (/.f64 (exp.f64 4) (pow.f64 i 6))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 4) (pow.f64 i 4))) (exp.f64 4))))
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(+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (-.f64 (-.f64 (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4)))) (-.f64 (/.f64 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)) (/.f64 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)) (/.f64 -1/64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (log.f64 (sqrt.f64 (exp.f64 4)))))) (pow.f64 i 6)) (/.f64 1/32 (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))))) (/.f64 (/.f64 0 (pow.f64 i 4)) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))))
(+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (-.f64 (-.f64 (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4)))) (-.f64 (/.f64 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (fma.f64 -1/2 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (/.f64 1/32 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 4))) (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))) (pow.f64 i 6)) (/.f64 1/32 (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))))) (/.f64 (/.f64 0 (pow.f64 i 4)) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))))
(/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4))))
(+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (*.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))))
(+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4)))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3) (pow.f64 i 4)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4))))) (/.f64 1/32 (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)))) (.f64 -1/192 (/.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))
(+.f64 (+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4))))) (+.f64 (/.f64 1/32 (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (.f64 (/.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) -1/192)))
(+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (+.f64 (+.f64 (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4)))) (/.f64 (/.f64 0 (pow.f64 i 4)) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (/.f64 1/32 (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3) (pow.f64 i 4)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2) (pow.f64 i 2)))) (+.f64 (.f64 1/8 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 4))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/384 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (+.f64 (.f64 1/5760 (/.f64 (-.f64 (+.f64 (.f64 180 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) (.f64 360 (/.f64 (-.f64 (.f64 -1/6 (exp.f64 4)) (.f64 -1/2 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)))) (exp.f64 4)))) 30) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/32 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))) (log.f64 (sqrt.f64 (exp.f64 4))))))) (pow.f64 i 6)))))) (.f64 1/192 (/.f64 (-.f64 (.f64 12 (/.f64 (-.f64 (.f64 1/2 (exp.f64 4)) (pow.f64 (.f64 -1/2 (sqrt.f64 (exp.f64 4))) 2)) (exp.f64 4))) 3) (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))
(+.f64 (/.f64 1/32 (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (-.f64 (+.f64 (+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4))))) (neg.f64 (/.f64 (fma.f64 1/384 (/.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (fma.f64 1/5760 (/.f64 (+.f64 (fma.f64 180 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) (.f64 360 (/.f64 (-.f64 (.f64 (exp.f64 4) -1/6) (.f64 -1/2 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)))) (exp.f64 4)))) -30) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (.f64 -1/192 (/.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))) (log.f64 (sqrt.f64 (exp.f64 4))))))) (pow.f64 i 6)))) (.f64 1/192 (/.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))))))
(+.f64 (/.f64 1/32 (.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (-.f64 (-.f64 (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4)))) (/.f64 (fma.f64 1/384 (/.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (fma.f64 -1/2 (-.f64 (/.f64 1/32 (.f64 (log.f64 (sqrt.f64 (exp.f64 4))) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (/.f64 (.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) 1/192) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (.f64 1/5760 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) 180 (fma.f64 360 (/.f64 (fma.f64 (exp.f64 4) -1/6 (.f64 1/2 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)))) (exp.f64 4)) -30)) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))))) (pow.f64 i 6))) (.f64 1/192 (/.f64 (fma.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 4) 1/2) (pow.f64 (.f64 (sqrt.f64 (exp.f64 4)) -1/2) 2)) (exp.f64 4)) -3) (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))))))
(+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (-.f64 (-.f64 (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4)))) (-.f64 (/.f64 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)) (/.f64 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)) (/.f64 -1/64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))) (log.f64 (sqrt.f64 (exp.f64 4)))))) (pow.f64 i 6)) (/.f64 1/32 (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))))) (/.f64 (/.f64 0 (pow.f64 i 4)) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))))
(+.f64 (/.f64 1/16 (.f64 (.f64 i i) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))) (-.f64 (-.f64 (/.f64 1/8 (log.f64 (sqrt.f64 (exp.f64 4)))) (-.f64 (/.f64 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (fma.f64 -1/2 (+.f64 (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3)) (/.f64 1/32 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 4))) (/.f64 0 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2)))) (pow.f64 i 6)) (/.f64 1/32 (*.f64 (pow.f64 i 4) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 3))))) (/.f64 (/.f64 0 (pow.f64 i 4)) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 4))) 2))))

prune54.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Error

0.0b

Counts

53 → 3

Alt Table

Status

Error

Program

✓

14.3b

(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))

▶

25.9b

(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))

32.3b

(*.f64 i (*.f64 i -1/4))

Compiler

Compiled 1724 to 1558 computations (9.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16 (pow.f64 (pow.f64 i -2) 2))
✓	0.1b	(pow.f64 (pow.f64 i -2) 2)
✓	0.6b	(/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)))
✓	24.8b	(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))

series6.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	i	@	-inf	(pow.f64 (pow.f64 i -2) 2)
1.0ms	i	@	0	(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))
1.0ms	i	@	inf	(/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)))
1.0ms	i	@	0	(/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)))
1.0ms	i	@	inf	(pow.f64 (pow.f64 i -2) 2)

rewrite61.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`prod-diff_binary64`
240×	`log1p-udef_binary64`
144×	`add-sqr-sqrt_binary64`
142×	`add-log-exp_binary64`
142×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	308	40
2	3860	40

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

Inputs
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))
(/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2)))
(pow.f64 (pow.f64 i -2) 2)
(-.f64 16 (pow.f64 (pow.f64 i -2) 2))

Outputs
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simplify42.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-def_binary64`
583×	`times-frac_binary64`
453×	`associate-/r*_binary64`
299×	`fma-neg_binary64`
170×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	555
1	155	552
2	376	552
3	1181	552
4	4234	552

Stop Event

1×	node limit

Counts

171 → 157

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -4 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -64 (pow.f64 i 12))))
(+.f64 (.f64 -1024 (pow.f64 i 16)) (+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (.f64 -64 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 -1 (pow.f64 i 4))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
16
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
16
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 -1/4 (.f64 i i)))
(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
(.f64 (.f64 i i) (-.f64 -1/4 (*.f64 i i)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 4))
(-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))
(-.f64 (.f64 (.f64 i i) (fma.f64 (pow.f64 i 4) -4 -1/4)) (pow.f64 i 4))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 4)))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)))
(fma.f64 -1/4 (.f64 i i) (-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -16 (pow.f64 i 8))) (pow.f64 i 4)))
(-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -16 (pow.f64 i 8))) (.f64 (*.f64 i i) (fma.f64 i i 1/4)))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6)))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -4 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(fma.f64 -4 (pow.f64 i 8) (*.f64 -1/4 (pow.f64 i 4)))
(*.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) -4 -1/4))
(+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -64 (pow.f64 i 12))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -64 (pow.f64 i 12) (*.f64 -1/4 (pow.f64 i 4))))
(fma.f64 -1/4 (pow.f64 i 4) (fma.f64 -4 (pow.f64 i 8) (*.f64 -64 (pow.f64 i 12))))
(+.f64 (.f64 -1024 (pow.f64 i 16)) (+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -4 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -4 (pow.f64 i 8) (fma.f64 -64 (pow.f64 i 12) (*.f64 -1/4 (pow.f64 i 4)))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -1024 (pow.f64 i 16) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1/4 (pow.f64 i 4) (fma.f64 (pow.f64 i 8) (fma.f64 (pow.f64 i 8) -1024 -4) (*.f64 -64 (pow.f64 i 12))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4)))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(+.f64 (+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8)))) (/.f64 1/262144 (pow.f64 i 12)))
(+.f64 (+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4))) (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12))))
(+.f64 1/64 (+.f64 (+.f64 (/.f64 1/262144 (pow.f64 i 12)) (/.f64 1/1024 (pow.f64 i 4))) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 1/64 (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/262144 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4)))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(+.f64 (+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8)))) (/.f64 1/262144 (pow.f64 i 12)))
(+.f64 (+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4))) (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12))))
(+.f64 1/64 (+.f64 (+.f64 (/.f64 1/262144 (pow.f64 i 12)) (/.f64 1/1024 (pow.f64 i 4))) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 1/64 (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/262144 (pow.f64 i 12)))))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 1 (pow.f64 i 4))
(/.f64 -1 (pow.f64 i 4))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
16
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
16
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))
(-.f64 16 (/.f64 1 (pow.f64 i 4)))
(+.f64 16 (/.f64 -1 (pow.f64 i 4)))

prune184.0ms (7.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	158	2	160

Error

Counts

160 → 2

Alt Table

Status	Error	Program
▶	25.9b	(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))
	32.3b	(.f64 i (.f64 i -1/4))

Compiler

Compiled 2942 to 2494 computations (15.2% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))
✓	0.6b	(/.f64 1/4 (-.f64 16 (pow.f64 i -4)))
✓	24.8b	(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))

series5.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))
1.0ms	i	@	inf	(expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))
0.0ms	i	@	0	(expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))
0.0ms	i	@	0	(/.f64 1/4 (-.f64 16 (pow.f64 i -4)))
0.0ms	i	@	inf	(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))

rewrite66.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`prod-diff_binary64`
253×	`log1p-udef_binary64`
151×	`add-sqr-sqrt_binary64`
151×	`expm1-log1p-u_binary64`
150×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	329	51
2	3993	51

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

Inputs
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))
(/.f64 1/4 (-.f64 16 (pow.f64 i -4)))
(log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))
(expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 i -2) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))) (/.f64 1 (-.f64 16 (pow.f64 i -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 16 (pow.f64 i -4))) (/.f64 (pow.f64 i -2) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 i -2) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))) 1) (.f64 (/.f64 1 (-.f64 16 (pow.f64 i -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 i -2) 4) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 i -2) 4) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 i -6)) (.f64 (-.f64 64 (/.f64 (pow.f64 i -4) 1/4)) (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 i -4) -16) (.f64 (-.f64 64 (/.f64 (pow.f64 i -4) 1/4)) (+.f64 (pow.f64 i -2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/4 (+.f64 64 (pow.f64 i -6))) (.f64 (-.f64 16 (pow.f64 i -4)) (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/4 (+.f64 64 (pow.f64 i -6))) (.f64 (neg.f64 (-.f64 16 (pow.f64 i -4))) (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/4 (+.f64 (pow.f64 i -4) -16)) (.f64 (-.f64 16 (pow.f64 i -4)) (+.f64 (pow.f64 i -2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/4 (+.f64 (pow.f64 i -4) -16)) (.f64 (neg.f64 (-.f64 16 (pow.f64 i -4))) (+.f64 (pow.f64 i -2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64 (pow.f64 i -6)) 1/4) (.f64 (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 (pow.f64 i -2) 4)) (-.f64 16 (pow.f64 i -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 i -4) -16) 1/4) (.f64 (+.f64 (pow.f64 i -2) -4) (-.f64 16 (pow.f64 i -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64 (pow.f64 i -6)) 1) (.f64 (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 (pow.f64 i -2) 4)) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 i -4) -16) 1) (.f64 (+.f64 (pow.f64 i -2) -4) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64 (pow.f64 i -6)) -1/4) (.f64 (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 (pow.f64 i -2) 4)) (neg.f64 (-.f64 16 (pow.f64 i -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 i -4) -16) -1/4) (.f64 (+.f64 (pow.f64 i -2) -4) (neg.f64 (-.f64 16 (pow.f64 i -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 i -2) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))) 3) (pow.f64 (/.f64 1 (-.f64 16 (pow.f64 i -4))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 i -2) (-.f64 64 (/.f64 (pow.f64 i -4) 1/4))) (/.f64 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simplify36.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

474×	`times-frac_binary64`
334×	`fma-def_binary64`
236×	`*-commutative_binary64`
229×	`associate-/l*_binary64`
227×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	826
1	233	805
2	588	793
3	1911	789

Stop Event

1×	node limit

Counts

164 → 137

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -4 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -64 (pow.f64 i 12))))
(+.f64 (.f64 -1024 (pow.f64 i 16)) (+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (.f64 -64 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -4 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -64 (pow.f64 i 12))))
(+.f64 (.f64 -1024 (pow.f64 i 16)) (+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (.f64 -64 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -127/32 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(+.f64 (.f64 -127/32 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -24193/384 (pow.f64 i 12))))
(+.f64 (.f64 -127/32 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (+.f64 (.f64 -6144767/6144 (pow.f64 i 16)) (.f64 -24193/384 (pow.f64 i 12)))))
(-.f64 (exp.f64 1/64) 1)
(-.f64 (+.f64 (exp.f64 1/64) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))) 1)
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))))) 1)
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (+.f64 (.f64 24961/6442450944 (/.f64 (exp.f64 1/64) (pow.f64 i 12))) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))))) 1)
(-.f64 (exp.f64 1/64) 1)
(-.f64 (+.f64 (exp.f64 1/64) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))) 1)
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))))) 1)
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (+.f64 (.f64 24961/6442450944 (/.f64 (exp.f64 1/64) (pow.f64 i 12))) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))))) 1)

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 -1/4 (.f64 i i)))
(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 4))
(-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 4)))
(-.f64 (fma.f64 -16 (pow.f64 i 8) (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i)))) (pow.f64 i 4))
(-.f64 (fma.f64 -16 (pow.f64 i 8) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))) (pow.f64 i 4))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4)))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -4 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(fma.f64 -4 (pow.f64 i 8) (*.f64 -1/4 (pow.f64 i 4)))
(fma.f64 -1/4 (pow.f64 i 4) (*.f64 -4 (pow.f64 i 8)))
(+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -64 (pow.f64 i 12))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -64 (pow.f64 i 12) (*.f64 -1/4 (pow.f64 i 4))))
(fma.f64 -1/4 (pow.f64 i 4) (fma.f64 -4 (pow.f64 i 8) (*.f64 -64 (pow.f64 i 12))))
(+.f64 (.f64 -1024 (pow.f64 i 16)) (+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -4 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -4 (pow.f64 i 8) (fma.f64 -64 (pow.f64 i 12) (*.f64 -1/4 (pow.f64 i 4)))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -1024 (pow.f64 i 16) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -1/4 (pow.f64 i 4) (fma.f64 -4 (pow.f64 i 8) (*.f64 -64 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4)))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(+.f64 (+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8)))) (/.f64 1/262144 (pow.f64 i 12)))
(+.f64 (+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4))) (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4)))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(+.f64 (+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8)))) (/.f64 1/262144 (pow.f64 i 12)))
(+.f64 (+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4))) (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12)))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -4 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(fma.f64 -4 (pow.f64 i 8) (*.f64 -1/4 (pow.f64 i 4)))
(fma.f64 -1/4 (pow.f64 i 4) (*.f64 -4 (pow.f64 i 8)))
(+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -64 (pow.f64 i 12))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -64 (pow.f64 i 12) (*.f64 -1/4 (pow.f64 i 4))))
(fma.f64 -1/4 (pow.f64 i 4) (fma.f64 -4 (pow.f64 i 8) (*.f64 -64 (pow.f64 i 12))))
(+.f64 (.f64 -1024 (pow.f64 i 16)) (+.f64 (.f64 -4 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -4 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -4 (pow.f64 i 8) (fma.f64 -64 (pow.f64 i 12) (*.f64 -1/4 (pow.f64 i 4)))))
(fma.f64 -4 (pow.f64 i 8) (fma.f64 -1024 (pow.f64 i 16) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -64 (pow.f64 i 12)))))
(fma.f64 -1024 (pow.f64 i 16) (fma.f64 -1/4 (pow.f64 i 4) (fma.f64 -4 (pow.f64 i 8) (*.f64 -64 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4)))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(+.f64 (+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8)))) (/.f64 1/262144 (pow.f64 i 12)))
(+.f64 (+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4))) (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12)))))
1/64
(+.f64 1/64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4)))
(+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (.f64 1/16384 (/.f64 1 (pow.f64 i 8)))))
(+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (/.f64 1/16384 (pow.f64 i 8))))
(+.f64 (.f64 1/262144 (/.f64 1 (pow.f64 i 12))) (+.f64 1/64 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 4))) (*.f64 1/16384 (/.f64 1 (pow.f64 i 8))))))
(+.f64 (+.f64 1/64 (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 1/16384 (pow.f64 i 8)))) (/.f64 1/262144 (pow.f64 i 12)))
(+.f64 (+.f64 1/64 (/.f64 1/1024 (pow.f64 i 4))) (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12))))
(+.f64 (/.f64 1/1024 (pow.f64 i 4)) (+.f64 1/64 (+.f64 (/.f64 1/16384 (pow.f64 i 8)) (/.f64 1/262144 (pow.f64 i 12)))))
(*.f64 -1/4 (pow.f64 i 4))
(+.f64 (.f64 -127/32 (pow.f64 i 8)) (.f64 -1/4 (pow.f64 i 4)))
(fma.f64 -127/32 (pow.f64 i 8) (*.f64 -1/4 (pow.f64 i 4)))
(fma.f64 -1/4 (pow.f64 i 4) (*.f64 (pow.f64 i 8) -127/32))
(+.f64 (.f64 -127/32 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (*.f64 -24193/384 (pow.f64 i 12))))
(fma.f64 -127/32 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 (pow.f64 i 12) -24193/384)))
(fma.f64 (pow.f64 i 8) -127/32 (fma.f64 (pow.f64 i 12) -24193/384 (*.f64 -1/4 (pow.f64 i 4))))
(fma.f64 -1/4 (pow.f64 i 4) (fma.f64 (pow.f64 i 8) -127/32 (*.f64 (pow.f64 i 12) -24193/384)))
(fma.f64 (pow.f64 i 8) -127/32 (fma.f64 -1/4 (pow.f64 i 4) (*.f64 (pow.f64 i 12) -24193/384)))
(+.f64 (.f64 -127/32 (pow.f64 i 8)) (+.f64 (.f64 -1/4 (pow.f64 i 4)) (+.f64 (.f64 -6144767/6144 (pow.f64 i 16)) (.f64 -24193/384 (pow.f64 i 12)))))
(fma.f64 -127/32 (pow.f64 i 8) (fma.f64 -1/4 (pow.f64 i 4) (fma.f64 -6144767/6144 (pow.f64 i 16) (*.f64 (pow.f64 i 12) -24193/384))))
(fma.f64 (pow.f64 i 8) -127/32 (fma.f64 -1/4 (pow.f64 i 4) (fma.f64 (pow.f64 i 12) -24193/384 (*.f64 (pow.f64 i 16) -6144767/6144))))
(fma.f64 (pow.f64 i 8) -127/32 (fma.f64 (pow.f64 i 16) -6144767/6144 (fma.f64 -1/4 (pow.f64 i 4) (*.f64 (pow.f64 i 12) -24193/384))))
(fma.f64 -1/4 (pow.f64 i 4) (fma.f64 (pow.f64 i 8) -127/32 (fma.f64 (pow.f64 i 12) -24193/384 (*.f64 (pow.f64 i 16) -6144767/6144))))
(-.f64 (exp.f64 1/64) 1)
(expm1.f64 1/64)
(-.f64 (+.f64 (exp.f64 1/64) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))) 1)
(+.f64 (exp.f64 1/64) (-.f64 (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))) 1))
(+.f64 (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))) (expm1.f64 1/64))
(fma.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (expm1.f64 1/64))
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))))) 1)
(+.f64 (fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (exp.f64 1/64) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))))) -1)
(fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))) (expm1.f64 1/64)))
(+.f64 (expm1.f64 1/64) (*.f64 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (+.f64 1/1024 (/.f64 129/2097152 (pow.f64 i 4)))))
(+.f64 (expm1.f64 1/64) (*.f64 (exp.f64 1/64) (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 129/2097152 (pow.f64 i 8)))))
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (+.f64 (.f64 24961/6442450944 (/.f64 (exp.f64 1/64) (pow.f64 i 12))) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))))) 1)
(+.f64 (fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (exp.f64 1/64) (fma.f64 24961/6442450944 (/.f64 (exp.f64 1/64) (pow.f64 i 12)) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))))) -1)
(fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (fma.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (/.f64 (*.f64 (exp.f64 1/64) 24961/6442450944) (pow.f64 i 12))) (expm1.f64 1/64)))
(+.f64 (.f64 (/.f64 24961/6442450944 (pow.f64 i 12)) (exp.f64 1/64)) (+.f64 (expm1.f64 1/64) (.f64 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (+.f64 1/1024 (/.f64 129/2097152 (pow.f64 i 4))))))
(+.f64 (fma.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (expm1.f64 1/64)) (*.f64 (exp.f64 1/64) (+.f64 (/.f64 24961/6442450944 (pow.f64 i 12)) (/.f64 129/2097152 (pow.f64 i 8)))))
(-.f64 (exp.f64 1/64) 1)
(expm1.f64 1/64)
(-.f64 (+.f64 (exp.f64 1/64) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))) 1)
(+.f64 (exp.f64 1/64) (-.f64 (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))) 1))
(+.f64 (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))) (expm1.f64 1/64))
(fma.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (expm1.f64 1/64))
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))))) 1)
(+.f64 (fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (exp.f64 1/64) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))))) -1)
(fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4))) (expm1.f64 1/64)))
(+.f64 (expm1.f64 1/64) (*.f64 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (+.f64 1/1024 (/.f64 129/2097152 (pow.f64 i 4)))))
(+.f64 (expm1.f64 1/64) (*.f64 (exp.f64 1/64) (+.f64 (/.f64 1/1024 (pow.f64 i 4)) (/.f64 129/2097152 (pow.f64 i 8)))))
(-.f64 (+.f64 (.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8))) (+.f64 (exp.f64 1/64) (+.f64 (.f64 24961/6442450944 (/.f64 (exp.f64 1/64) (pow.f64 i 12))) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))))) 1)
(+.f64 (fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (exp.f64 1/64) (fma.f64 24961/6442450944 (/.f64 (exp.f64 1/64) (pow.f64 i 12)) (*.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)))))) -1)
(fma.f64 129/2097152 (/.f64 (exp.f64 1/64) (pow.f64 i 8)) (+.f64 (fma.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (/.f64 (*.f64 (exp.f64 1/64) 24961/6442450944) (pow.f64 i 12))) (expm1.f64 1/64)))
(+.f64 (.f64 (/.f64 24961/6442450944 (pow.f64 i 12)) (exp.f64 1/64)) (+.f64 (expm1.f64 1/64) (.f64 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (+.f64 1/1024 (/.f64 129/2097152 (pow.f64 i 4))))))
(+.f64 (fma.f64 1/1024 (/.f64 (exp.f64 1/64) (pow.f64 i 4)) (expm1.f64 1/64)) (*.f64 (exp.f64 1/64) (+.f64 (/.f64 24961/6442450944 (pow.f64 i 12)) (/.f64 129/2097152 (pow.f64 i 8)))))

prune125.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Error

Counts

139 → 2

Alt Table

Status	Error	Program
✓	25.9b	(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))
	32.3b	(.f64 i (.f64 i -1/4))

Compiler

Compiled 2760 to 2372 computations (14.1% saved)

regimes18.0ms (0.8%)

Accuracy

Total -63.0b remaining (-∞%)

Threshold costs -63.0b (-∞%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))
(/.f64 1/4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4 (pow.f64 i -2)))))))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (pow.f64 i -2) 2))) (+.f64 (pow.f64 i -2) 4))
(.f64 i (.f64 i -1/4))
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(.f64 i (.f64 i -1/4))
(*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4))

Results

10.0ms	0b	`i`
5.0ms	0.2b	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))`

Compiler

Compiled 117 to 88 computations (24.8% saved)

bsearch28.0ms (1.2%)

Algorithm

1×	binary-search

Calls

1 calls:

28.0ms

Steps

Iters	Point		Range
1.5106064694716e-16	∈ [	1.5106064694716e-16	,	2.9457018179312408e-8	]

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	36
1	28	36
2	33	36
3	35	36
4	36	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i 6127747832749825/40564819207303340847894502572032) (.f64 i (.f64 i -1/4)) (*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4)))

Outputs
(if (<=.f64 i 6127747832749825/40564819207303340847894502572032) (.f64 i (.f64 i -1/4)) (*.f64 (log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))) (+.f64 (pow.f64 i -2) 4)))

end27.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 50 to 40 computations (20% saved)

Details

analyze8.0ms (0.3%)

sample1.1s (47.1%)

preprocess29.0ms (1.2%)

simplify21.0ms (0.9%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite50.0ms (2.1%)

simplify43.0ms (1.8%)

prune269.0ms (11.4%)

localize8.0ms (0.3%)

series38.0ms (1.6%)

rewrite40.0ms (1.7%)

simplify50.0ms (2.1%)

prune54.0ms (2.3%)

localize9.0ms (0.4%)

series6.0ms (0.2%)

rewrite61.0ms (2.6%)

simplify42.0ms (1.8%)

prune184.0ms (7.8%)

localize11.0ms (0.5%)

series5.0ms (0.2%)

rewrite66.0ms (2.8%)

simplify36.0ms (1.5%)

prune125.0ms (5.3%)

regimes18.0ms (0.8%)

bsearch28.0ms (1.2%)

simplify3.0ms (0.1%)

end27.0ms (1.1%)

Profiling